Transversal magnetoresistance in Weyl semimetals

Abstract

We explore theoretically the magnetoresistvity of three-dimensional Weyl and Dirac semimetals in transversal magnetic fields within two alternative models of disorder: (i) short-range impurities and (ii) charged (Coulomb) impurities. Impurity scattering is treated using the self-consistent Born approximation. We find that an unusual broadening of Landau levels leads to a variety of regimes of the resistivity scaling in the temperature-magnetic field plane. In particular, the magnetoresitance is non-monotonous for the white-noise disorder model. For H 0 the magnetoresistance for short-range impurities vanishes in a non-analytic way as H1/3. In the limits of strongest magnetic fields H, the magnetoresistivity vanishes as 1/H for pointlike impurities, while it is linear and positive in the model with Coulomb impurities.

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